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gives the address of the variable For variable-length types like character arrays, the last two arguments give the maximum length of the variable and a location where the actual length is to be stored when a tuple is fetched A negative value returned for the length eld indicates that the value is null The SQLFetch statement is in a while loop that gets executed until SQLFetch returns a value other than SQL SUCCESS On each fetch, the program stores the values in C variables as speci ed by the calls on SQLBindCol and prints out these values At the end of the session, the program frees the statement handle, disconnects from the database, and frees up the connection and SQL environment handles Good programming style requires that the result of every function call must be checked to make sure there are no errors; we have omitted most of these checks for brevity It is possible to create an SQL statement with parameters; for example, consider the statement insert into account values( , , ) The question marks are placeholders for values which will be supplied later The above statement can be prepared, that is, compiled at the database, and repeatedly executed by providing actual values for the placeholders in this case, by providing an account number, branch name, and balance for the relation account ODBC de nes functions for a variety of tasks, such as nding all the relations in the database and nding the names and types of columns of a query result or a relation in the database By default, each SQL statement is treated as a separate transaction that is committed automatically The call SQLSetConnectOption(conn, SQL AUTOCOMMIT, 0) turns off automatic commit on connection conn, and transactions must then be committed explicitly by SQLTransact(conn, SQL COMMIT) or rolled back by SQLTransact(conn, SQL ROLLBACK) The more recent versions of the ODBC standard add new functionality Each version de nes conformance levels, which specify subsets of the functionality de ned by the standard An ODBC implementation may provide only core level features, or it may provide more advanced (level 1 or level 2) features Level 1 requires support for fetching information about the catalog, such as information about what relations are present and the types of their attributes Level 2 requires further features, such as ability to send and retrieve arrays of parameter values and to retrieve more detailed catalog information The more recent SQL standards (SQL-92 and SQL:1999) de ne a call level interface (CLI) that is similar to the ODBC interface, but with some minor differences.

The McGraw Hill Companies, 2001

Once again this is a straight line, but in this case we have a minus sign out front giving a negative slope The corner frequency is given by = 10, and so we have |H ( c )|dB = 20 log10 |H ( c )| = 20 log10 1 = 20 log10 1 1 + j1

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Note that, if a relation r fails to satisfy a given multivalued dependency, we can construct a relation r that does satisfy the multivalued dependency by adding tuples to r Let D denote a set of functional and multivalued dependencies The closure D+ of D is the set of all functional and multivalued dependencies logically implied by D As we did for functional dependencies, we can compute D+ from D, using the formal de nitions of functional dependencies and multivalued dependencies We can manage with such reasoning for very simple multivalued dependencies Luckily, multivalued dependencies that occur in practice appear to be quite simple For complex dependencies, it is better to reason about sets of dependencies by using a system of inference rules (Section C11 of the appendix outlines a system of inference rules for multivalued dependencies) From the de nition of multivalued dependency, we can derive the following rule: If , then In other words, every functional dependency is also a multivalued dependency

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Consider again our BC-schema example in which the multivalued dependency customer-name customer-street customer-city holds, but no nontrivial functional de pendencies hold We saw in the opening paragraphs of Section 78 that, although BCschema is in BCNF, the design is not ideal, since we must repeat a customer s address information for each loan We shall see that we can use the given multivalued dependency to improve the database design, by decomposing BC-schema into a fourth normal form decomposition A relation schema R is in fourth normal form (4NF) with respect to a set D of functional and multivalued dependencies if, for all multivalued dependencies in D+ of the form , where R and R, at least one of the following holds is a trivial multivalued dependency is a superkey for schema R A database design is in 4NF if each member of the set of relation schemas that constitutes the design is in 4NF Note that the de nition of 4NF differs from the de nition of BCNF in only the use of multivalued dependencies instead of functional dependencies Every 4NF schema is in BCNF To see this fact, we note that, if a schema R is not in BCNF, then there is

The McGraw Hill Companies, 2001